In the previous ranking scheme using \([\,\cdot \,]\) , the value \(v_{T}\)  reflected complete certainty, while \(v_{F}\)  demonstrated complete disbelief. In the modified ranking scheme using \(\xi (\cdot )\) , complete certainty is given, by definition, as \(\xi _{T} = \phi (v_{T})+\beta \) ; its value cannot be determined exactly. On the other hand, it is a simple matter to show that (REF ) determines the value of complete disbelief to be \(\xi _{F} = 0\)  in the new scale [1]}[2]}.
